Question

How do you write
2

11
as a decimal?

Answer 1

Do long division: 11 into 2.000...

- 11 goes into 20 once → 1, remainder 9
- bring down 0: 11 into 90 goes 8 → 8, remainder 2

Remainder 2 repeats, so the digits "18" repeat. Thus

2/11 = 0.181818... = 0.\overline{18}